Question

A worker needs to pack 350 kg of rice and 150 kg of wheat in bags such that each bag weighs the same. Each bag should either contain rice or wheat. Which option shows the correct steps to find the greatest amount of rice/wheat the worker can pack in each bag?
Option 1: Step 1: 350 = 2(150) + 50
Step 2: 150 = 3(50) + 0
Step 3: Greatest amount: 50 kg
Option 2: Step 1: 350 = 2(150) + 50
Step 2: 150 = 2(50) + 0
Step 3: Greatest amount: 50 kg
Option 3: Step 1: 350 = 2(150) + 50
Step 2: 150 = 3(50) + 0
Step 3: Greatest amount: 150 kg
Option 4: Step 1: 350 = 2(150) + 50
Step 2: 150 = 2(50) + 0
Step 3: Greatest amount: 150 kg

Answer 1

Answer:

Step-by-step explanation:

The greatest amount of rice/wheat the worker can pack in each bag will be HCF of 350 kg of rice and 150 kg of wheat . Since we gets remainder 0 , when quotient is 50 . therefore, HCF of 350 and 150 is 50 . hence, wr can conclude that, The greatest amount of rice/wheat the worker can pack in each bag will be 50 kg